Musicians can readily notice tuning that is off by maybe 10 cents or so (100 cents is the range from one note to the next). A is the tuning note for most orchestras and we hear it over and over for many years so, "perfect pitch" or not, you become pretty attuned to it over time. For A = 440 Hz, the note a half-step below (Ab) is at about 415 Hz, which means 432 Hz is about halfway there. That is a huge pitch error. Now, if everyone tunes to it, relatively it's OK, but I remember when we (orchestra) had to tune up a hair to 442 Hz to match some vintage instruments and it really threw us off. I figured it wouldn't matter that much, not like I have perfect pitch, but in practice it sounded "off" and we all kept trying to pull it down to 440 Hz just out of (long) habit. Tuning a quarter-step off, blah.
FWIWFM - Don